You have 13 cards that are hearts and a deck of 52. So you do
13/52(fraction) x 13/52 (fraction) x 13/52(fraction) = 1/64 simplified answer
Answer: The required probability is 
Step-by-step explanation:
Since we have given that
Number of spruce tree = 20
Number of maple tree = 50
Total trees = 70
We need to find the experimental probability that the next tree Colleen to get a spruce tree.
So, the probability would be :

Hence, the required probability is 
Answer:
-4
Step-by-step explanation:
So since x=5 and y= 1 the new expression would be 1(5-7) to the second power. Using pemdas, 5-7 is -2. -2 to the second power is -4. negative 4 times 1 is negative 4.
Answer:

Step-by-step explanation:
1. Area of base
The radius given is that of the circumcircle.
The general formula for the edge length a of a regular polygon is
a = 2Rsin(π/n)
So,
a = 2 × 5 × sin(π/5) = 10sin0.6283 = 10 × 0.5878 = 5.878 in
The general formula for the area of a regular polygon is
A = ¼na²cot(π/n)
So,
A = ¼ × 5 × 5.878²cot(π/5) = ¼ × 5 × 5.878² × 1.376 = 59.44 in²
2. Lateral area
The general formula for the lateral area L of regular prism is
L = nah
So,
L = 5 × 5.878 × 12 = 352.7 in²
3. Total area
Total surface area = lateral area + 2×base area
S = L + 2B = 352.7 + 2 × 59.44 = 471.6 in²
